Pith Number

pith:2LU52DV2

pith:2013:2LU52DV2R3ERCDK4DU7QSDRB2G

not attested not anchored not stored refs pending

Central Limit Theorem and exponential tail estimations in mixed (anisotropic) Lebesgue spaces

E.Ostrovsky, L.Sirota

arxiv:1308.5606 v1 · 2013-08-26 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2LU52DV2R3ERCDK4DU7QSDRB2G}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:15:03.985806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2e9dd0eba8ec9110d5c1d3f090e21d1af6a131f279c13db3e13ffb228210c8f

Aliases

arxiv: 1308.5606 · arxiv_version: 1308.5606v1 · doi: 10.48550/arxiv.1308.5606 · pith_short_12: 2LU52DV2R3ER · pith_short_16: 2LU52DV2R3ERCDK4 · pith_short_8: 2LU52DV2

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2LU52DV2R3ERCDK4DU7QSDRB2G \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d2e9dd0eba8ec9110d5c1d3f090e21d1af6a131f279c13db3e13ffb228210c8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "680bff03addbf6b20535e5c9a4878b687dddb04adf9b58a7a369d531fa1fd64b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-08-26T15:00:13Z",
    "title_canon_sha256": "373df4f64bcae225bbccec434592e80beff0bc54280c648fd8ade48e6515d8a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5606",
    "kind": "arxiv",
    "version": 1
  }
}